Mondays 5:10–6:25pm, 891 Evans, CCN 15536
We will explore the deformation theory of A_{∞} algebras
and categories, with special attention to the commutative case and
the role of
Kontsevich formality. The role of curved algebras and the
resulting problems may also be addressed, time permitting.
References will be updated.
Tentative schedule of lecturesDate 
Topic 
Speaker 
References 
9/10 
Introduction and outline of the seminar 
Teleman 

9/17 
Rational Homotopy I: DGAs 
Teleman 
2, 3, 4 
9/24 
Rational Homotopy II: DGLAs 
Kiran 
1, 3 
10/1  Kuranishi construction of a germ of deformation spaces 
Teleman 
5 
10/8 
Formality of Kahler manifolds 
Julian 
4 
10/15  Koszul duality for algebras  Chris Kuo  6 
10/22 
Operads and examples: A_{∞, }L_{∞},
Comm, E_{n} 
Yixuan  10 
10/26 
Operads and examples II: A_{∞, }L_{∞},
Comm, E_{n} 
Yixuan  10. Note: Room 740 at 12pm 
10/29  A_{∞} algebras and categories 
Meredith  7, 8 
11/5 
Bar complex, Hochschild complex, loop spaces
and string topology? 
Kiran 
3 and more 
11/26 
Bar complex, Hochschild complex, wrapped up 
Kiran 

11/30 
HKR theorem and formality statements 
Teleman 
12. 12:10–1:30pm, 891 
12/3 
Kontsevich Formality 
Daniel 
11, 12, 13 
12/5 
Deligne conjecture and Formality of E2
Nonformality 
German 
14; 12:10–1:30pm, 891 
Next term 
Curved algebras and their deformations 
9 
(Berkeley Library and sometimes source links)